On the pseudoconvexity of a quadratic fractional function

被引：16

作者：

Cambini, A

Crouzeix, JP

Martein, L

机构：

[1] Univ Pisa, Dept Appl Math & Stat, I-56124 Pisa, Italy

[2] Univ Clermont Ferrand, LIMOS, F-63177 Clermont Ferrand, France

来源：

OPTIMIZATION | 2002年 / 51卷 / 04期

关键词：

generalized convexity; fractional programming;

D O I：

10.1080/0233193021000030779

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper we give a necessary and sufficient condition for the pseudoconvexity of a function f which is the ratio of a quadratic function over an affine function. The obtained results allow to suggest a simple algorithm to test the pseudoconvexity of f and also to characterize the pseudoconvexity of the sum of a linear and a linear fractional function.

引用

页码：677 / 687

页数：11

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